id:A145392 - OEIS Search Results

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Number of sublattices of index n fixed by a certain point group (see reference for precise definition).

+0
1

1, 2, 2, 4, 4, 6, 4, 8, 7, 10, 6, 14, 8, 12, 12, 16, 10, 20, 10, 22, 16, 18, 12, 30, 17, 22, 20, 28, 16, 36, 16, 32, 24, 28, 24, 46, 20, 30, 28, 46, 22, 48, 22, 42, 40, 36, 24, 62, 29, 48, 36, 50, 28, 60, 36, 60, 40, 46, 30, 84, 32, 48, 52, 64, 44, 72, 34, 64, 48, 72 (list; graph; listen)

	OFFSET	`1,2`
	REFERENCES	`John S. Rutherford, Sublattice enumeration. IV. Equivalence classes of plane sublattices by parent Patterson symmetry and colour lattice group type, Acta Cryst. (2009). A65, 156163. [See Table 2].`
	FORMULA	`a(n) = (A000203 + A002654)/2. [Rutherford] - N. J. A. Sloane, Mar 13 2009`
	CROSSREFS	`Sequence in context: A153835 A075857 A023817 this_sequence A034974 A048275 A109874` `Adjacent sequences: A145389 A145390 A145391 this_sequence A145393 A145394 A145395`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Feb 23 2009`

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.

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